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| 亚纯函数亏量和的Ozawa问题 | |
| 引用本文： | 樊艺,冯馥旻,黎加奎. 亚纯函数亏量和的Ozawa问题[J]. 毕节学院学报, 2012, 30(4): 51-55 |
| 作者姓名： | 樊艺 冯馥旻 黎加奎 |
| 作者单位： | 1. 贵州毕节学院数学与计算机科学学院,贵州毕节551700／贵州民族大学研究生院,贵州贵阳550025 2. 贵阳市第五中学,贵州贵阳,550001 3. 贵阳市乌当第二中学,贵州贵阳,550018 |
| 基金项目： | 贵州省科学技术基金项目;项目，贵州省毕节地区科学技术基金项目;项目 |
| 摘 要： | 对Ozawa问题,结合詹小平和雷春林关于导数亏量的有关结果,证明了,设f(z)习为有限级λ的亚纯函数,存在只与p = min(k, n+ 1),λ有关的正正常数d,满足:p-1p≤ d≤12,使得∑a∈cδ(a,fk+f(n))≤2-dk(λ),及对于任意正数nk≥1,满足n-k 2n-2k+4≤d≤12,使得∑a∈cδ(a,f(n)fk)≤2-dk(λ)。 |
| 关 键 词： | 亚纯函数 亏量 级 |
An Ozawa Problem of Defective Sum for Meromorphic Functionx |
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| Affiliation: | FAN Yi(School of Mathematics and Computer Science of Bijie University,Bijie,Guizhou551700,China) |
| Abstract: | For an Ozawa problem, combining with the relating results in differential coefficient defective number by Zhan Xiaoping and Lei Chunlin, this paper proves that if f(Z)is a finite order λ meromorphic function, and the positive constant d exists in p = min(k, n+ 1), satisfying p-1p≤ d≤12 to make ∑a∈cδ(a,fk+f(n))≤2-dk(λ) for any positive number n>k≥1 with n-k 2n-2k+4≤d≤12 for ∑a∈cδ(a,f(n)fk)≤2-dk(λ). |
| Keywords: | Meromorphic Function Defective Number Order |
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